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3992272326 = 233773149971
BaseRepresentation
bin1110110111110101…
…0011110111000110
3101022020011110002000
43231331103313012
531134010203301
61500052130130
7200634516630
oct35575236706
911266143060
103992272326
111769596319
12935006946
134b8147223
1429c301a50
1518574a786
hexedf53dc6

3992272326 has 128 divisors (see below), whose sum is σ = 10357632000. Its totient is φ = 1116322560.

The previous prime is 3992272303. The next prime is 3992272331. The reversal of 3992272326 is 6232722993.

3992272326 is a `hidden beast` number, since 399 + 2 + 27 + 232 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4111021 + ... + 4111991.

It is an arithmetic number, because the mean of its divisors is an integer number (80919000).

Almost surely, 23992272326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992272326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178816000).

3992272326 is an abundant number, since it is smaller than the sum of its proper divisors (6365359674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3992272326 is a wasteful number, since it uses less digits than its factorization.

3992272326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 3992272326 is about 63184.4310411987. The cubic root of 3992272326 is about 1586.3781498109.

The spelling of 3992272326 in words is "three billion, nine hundred ninety-two million, two hundred seventy-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 149 189 219 298 378 438 447 511 657 894 971 1022 1043 1314 1341 1533 1942 1971 2086 2682 2913 3066 3129 3942 4023 4599 5826 6258 6797 8046 8739 9198 9387 10877 13594 13797 17478 18774 20391 21754 26217 27594 28161 32631 40782 52434 56322 61173 65262 70883 76139 97893 122346 141766 144679 152278 183519 195786 212649 228417 289358 293679 367038 425298 434037 456834 496181 587358 637947 685251 868074 992362 1012753 1275894 1302111 1370502 1488543 1913841 2025506 2055753 2604222 2977086 3038259 3827682 3906333 4111506 4465629 6076518 7812666 8931258 9114777 10561567 13396887 18229554 21123134 26793774 27344331 31684701 54688662 63369402 73930969 95054103 147861938 190108206 221792907 285162309 443585814 570324618 665378721 1330757442 1996136163 3992272326